Numerade

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i An analogue circuit would be appropriate, and why a digital circuit would not. ii A digital circuit would be appropriate, and why an analogue circuit would not.

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1. Explain mathematically why $\lim_{x\to 0} \frac{1}{x}$ does not exist, but $\lim_{x\to 0} \frac{1}{x^2} \to \infty$.

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Figure out if this diverges or converges using the alternating series test (d) \sum_(n=1)^(\infty ) (-1)^(n+1)(1)/(lnn), (Alternating series test) (d) $\sum_{n=1}^{\infty} (-1)^{n+1} \frac{1}{\ln n}$ (Alternating series test)

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A monopolist with constant average and marginal cost equal to 8 (AC = MC = 8) faces demand Q = 100 - P, implying that its marginal revenue is MR = 100 - 2Q. Its profit maximizing quantity is ? ?. 50 ? b. 8 ? c. 46 ? d. 92

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Evaluate the integral. (Use C for the constant of integration.) \int \frac{e^u}{(9 - e^u)^2} du

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Use the Student's t distribution to find $t_c$ for a 0.95 confidence level when the sample size is 20. (

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Which of the following is a heap? (a) 60 15 20 14 8 (b) 60 13 20 14 8 (c) 50 15 30 14 9 (d) 60 15 20 14 9 (a) (b) (c) (d) All of them.

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A- Each of the two gas generating units of a certain power system can't run below 90 MW or above 520 MW. The fuel rate equations in (m³/h) for the first and the second generating units are as follows: F1 = 0.082 P1$^2$ + 179 P1 + 9190 and F2 = 0.064 P2$^2$ + 157 P2 + 7690. (P1 and P2 are in MW) The price of the gas used to run the first generating unit is 0.06XX $/m³ where XX are the last two digits (from right) of your registration number. 1- Find the price of the gas of the second generating unit at which the economic dispatch happens at equal sharing for the case of total power at 800 MW. Discuss your result. 2- At this gas price of the second generating unit, find the economic sharing of each of the two generating units for the total power of 700 MW. Discuss your result. 3- Find the saving occurs for the case of point 2 when compared with the case of distributing the total power such that P1 = 200 MW and P2 = 500 MW. Comment on your result.

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(1 point) Let $A = \begin{bmatrix} -1 & -2 & 4\\ 2 & -5 & -2\\ -3 & -4 & 3 \end{bmatrix}$ and $\vec{v} = \begin{bmatrix} 2\\ -7\\ 2 \end{bmatrix}$. Perform the indicated operation. $A\vec{v} = \begin{bmatrix} \\\\\\ \end{bmatrix}$

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Perform the dc analysis of the following circuit. Draw the ac equivalent circuit and find mid frequency gain. Also calculate low and high cut-off frequency and draw bode graph. R1 33k? RD 680? Co Vo + VDD Vi Ci + 12V + 100nF + M1 100nF 2N7002 + RL 10k? 100 mVpp R2 12k? Rs Cs 150? 100 µF

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milagros h.